A new difference scheme with high accuracy and absolute stability for solving convection–diffusion equations |
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| Authors: | Hengfei Ding Yuxin Zhang |
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| Affiliation: | aSchool of Mathematics and Statistics,Tianshui Normal University, Tianshui 741001, PR China;bSchool of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, PR China |
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| Abstract: | In this paper, we use a semi-discrete and a padé approximation method to propose a new difference scheme for solving convection–diffusion problems. The truncation error of the difference scheme is O(h4+τ5). It is shown through analysis that the scheme is unconditionally stable. Numerical experiments are conducted to test its high accuracy and to compare it with Crank–Nicolson method. |
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| Keywords: | Convection– diffusion equation Difference scheme High accuracy Toeplitz matrix Krylov subspace method |
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